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Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/58DFFAC4-8C48-4E54-A0EB-5725C486F8C3 | - |
| Identifier | https://doi.org/10.1109/ICASSP.2011.5947193 | - |
| Language | en | - |
| Extent | 3 | en |
| Title | Rank-deficient quadratic-form maximization over M-phase alphabet: Polynomialcomplexity solvability and algorithmic developments | en |
| Creator | Kyrillidis Anastasios | en |
| Creator | Karystinos Georgios | en |
| Creator | Καρυστινος Γεωργιος | el |
| Publisher | Institute of Electrical and Electronics Engineers | en |
| Content Summary | The maximization of a positive (semi)definite complex quadratic form over a finite alphabet is NP-hard and achieved through exhaustive search when the form has full rank. However, if the form is rank-deficient, the optimal solution can be computed with only polynomial complexity in the length N of the maximizing vector. In this work, we consider the general case of a rank-D positive (semi)definite complex quadratic form and develop a method that maximizes the form with respect to a M-phase vector with polynomial complexity. The proposed method efficiently reduces the size of the feasible set from exponential to polynomial. We also develop an algorithm that constructs the polynomial-size candidate set in polynomial time and observe that it is fully parallelizable and rank-scalable. | en |
| Type of Item | Πλήρης Δημοσίευση σε Συνέδριο | el |
| Type of Item | Conference Full Paper | en |
| License | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
| Date of Item | 2015-11-10 | - |
| Date of Publication | 2011 | - |
| Bibliographic Citation | A. T. Kyrillidis and G. N. Karystinos, “Rank-deficient quadratic-form maximization over M-phase alphabet: Polynomialcomplexity solvability and algorithmic developments,” in Proc. IEEE - Intern. Conf. Acoust., Speech and Signal Proc.,(ICASSP '11) pp. 3856-3859, doi: 10.1109/ICASSP.2011.5947193 | en |
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